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Simplify. Express your answer using positive exponents. \newline4ff\frac{4f}{f}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline4ff\frac{4f}{f}
  1. Simplify Expression: Simplify the expression 4f/f4f/f. When dividing two expressions with the same base, we subtract the exponents. Since ff is equivalent to f1f^1, we have: 4f/f=4f1/f14f/f = 4f^1/f^1
  2. Subtract Exponents: Subtract the exponents. f1/f1=f1−1=f0f^1/f^1 = f^{1-1} = f^0
  3. Raise to Power 00: Recall that any non-zero number raised to the power of 00 is 11.f0=1f^0 = 1
  4. Multiply by Coefficient: Multiply the result by the coefficient.\newline4×f0=4×1=44 \times f^0 = 4 \times 1 = 4
  5. Final Simplification: Since f/ff/f is 11, the expression simplifies to just the coefficient.\newline4f/f=44f/f = 4

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